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Finding the Fourth Proportional to 81,632.40, 112,664.08 and 45,342

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Solution

The fourth proportional to 81,632.40, 112,664.08 and 45,342 is: 62,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,632.40 : 112,664.08 = 45,342 : x
  2. Step 2: Convert to fraction form
    81,632.40/112,664.08 = 45,342/x
  3. Step 3: Cross multiply
    81,632.40x = 112,664.08 × 45,342
  4. Step 4: Simplify right side
    81,632.40x = 5,108,414,715.36
  5. Step 5: Solve for x
    x = 5,108,414,715.36/81,632.40
  6. Step 6: Final answer
    x = 62,578.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.